Least Common Multiple of 9054 and 9060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9054 and 9060 the smallest integer that is 13671540 that is divisible by both numbers.

Least Common Multiple (LCM) of 9054 and 9060 is 13671540.

LCM(9054,9060) = 13671540

LCM of 9054 and 9060

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9054 and 9060

LCM of 9054 and 9060 is 13671540

Least common multiple can be found by multiplying the highest exponent prime factors of 9054 and 9060. First we will calculate the prime factors of 9054 and 9060.

Prime Factorization of 9054


2 9054
3 4527
3 1509
503 503
1

Prime factors of 9054 are 2, 3,503. Prime factorization of 9054 in exponential form is:

9054 = 21×32×5031

Prime Factorization of 9060


2 9060
2 4530
3 2265
5 755
151 151
1

Prime factors of 9060 are 2, 3, 5,151. Prime factorization of 9060 in exponential form is:

9060 = 22×31×51×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 9054 and 9060.

LCM(9054,9060) = 22×32×51×1511×5031
LCM(9054,9060) = 13671540

Factors of 9054

List of positive integer factors of 9054 that divides 9054 without a remainder.

1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054

Factors of 9060

List of positive integer factors of 9060 that divides 9060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060

Least Common Multiple of 9054 and 9060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9054 and 9060, than apply into the LCM equation.

GCF(9054,9060) = 6
LCM(9054,9060) = ( 9054 × 9060) / 6
LCM(9054,9060) = 82029240 / 6
LCM(9054,9060) = 13671540

Properties of LCM 9054 and 9060

(i) The LCM of 9060 and 9054 is associative

LCM of 9054 and 9060 = LCM of 9060 and 9054

Related Least Common Multiples of 9054

Related Least Common Multiples of 9060

Frequently Asked Questions on LCM of 9054 and 9060

1. What is the LCM of 9054 and 9060?

Answer: LCM of 9054 and 9060 is 13671540.

2. What are the Factors of 9054?

Answer: Factors of 9054 are 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054. There are 12 integers that are factors of 9054. The greatest factor of 9054 is 9054.

3. What are the Factors of 9060?

Answer: Factors of 9060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060. There are 24 integers that are factors of 9060. The greatest factor of 9060 is 9060.

4. How to Find the LCM of 9054 and 9060?

Answer:

Least Common Multiple of 9054 and 9060 = 13671540

Step 1: Find the prime factorization of 9054

9054 = 2 x 3 x 3 x 503

Step 2: Find the prime factorization of 9060

9060 = 2 x 2 x 3 x 5 x 151

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 13671540 = 2 x 2 x 3 x 3 x 5 x 151 x 503

Step 4: Therefore, the least common multiple of 9054 and 9060 is 13671540.